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3329037439225 = 52101236132
BaseRepresentation
bin110000011100011010000…
…110000001000011111001
3102210020211100021001102021
4300130122012001003321
5414020332041023400
611025201053434441
7462341436225601
oct60343206010371
912706740231367
103329037439225
111073922934933
12459233a9ba21
131b1c084947c4
14b71aa6bdc01
155b8e129371a
hex3071a1810f9

3329037439225 has 27 divisors (see below), whose sum is σ = 4170436728519. Its totient is φ = 2636131512000.

The previous prime is 3329037439213. The next prime is 3329037439229. The reversal of 3329037439225 is 5229347309233.

The square root of 3329037439225 is 1824565.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2652425905129 + 676611534096 = 1628627^2 + 822564^2 .

It is not a de Polignac number, because 3329037439225 - 25 = 3329037439193 is a prime.

It is a super-2 number, since 2×33290374392252 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3329037439229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 921403519 + ... + 921407131.

Almost surely, 23329037439225 is an apocalyptic number.

3329037439225 is the 1824565-th square number.

3329037439225 is the 912283-rd centered octagonal number.

It is an amenable number.

3329037439225 is a deficient number, since it is larger than the sum of its proper divisors (841399289294).

3329037439225 is an frugal number, since it uses more digits than its factorization.

3329037439225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7438 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 52.

The spelling of 3329037439225 in words is "three trillion, three hundred twenty-nine billion, thirty-seven million, four hundred thirty-nine thousand, two hundred twenty-five".

Divisors: 1 5 25 101 505 2525 3613 10201 18065 51005 90325 255025 364913 1824565 9122825 13053769 36856213 65268845 184281065 326344225 921405325 1318430669 6592153345 32960766725 133161497569 665807487845 3329037439225